Removing a broken glass storm window advice please

[Marthe48]

For some reason, the glass insert storm window in my front door shattered. I think it was safety glass, because it shattered into little pieces. Most of the glass is in between the doors and I got out a wet-dry vac to work on sweeping it up. I wondered what I should do next to safely dispose of it after I sweep it up? I have plastic coffee jugs. maybe I could use those and tape them shut.

There is still glass in the frame, not much, enough to be a safety concern. Some shards fell while I vac. but when I tried to use the vac. to pull other pieces free, they were secure. I don't want to take the frame out and risk falling pieces cutting me or getting on the carpet.

Any help is appreciated. Thank you.